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Finding the Third Proportional to 102,765,252 and 242,507,598

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Solution

The third proportional to 102,765,252 and 242,507,598 is: 572,274,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,765,252 : 242,507,598 = 242,507,598 : x
  2. Step 2: Convert to fraction form
    102,765,252/242,507,598 = 242,507,598/x
  3. Step 3: Cross multiply
    102,765,252x = 242,507,598 × 242,507,598
  4. Step 4: Simplify right side
    102,765,252x = 58,809,935,087,729,600
  5. Step 5: Solve for x
    x = 58,809,935,087,729,600/102,765,252
  6. Step 6: Final answer
    x = 572,274,518.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.